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Investigating the Dynamical Behaviour of Dipteran Flight-Inspired Flapping Motion Using Immersed Boundary Method-Based FSI Solver

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Recent Advances in Computational Mechanics and Simulations

Abstract

Significant amount of research interest is focused on the development of nature-inspired Micro Areal Vehicle (MAV) due to their multifold potential in the futuristic civil and military applications over the years. Natural flyers (bird/insect) employ several flapping mechanisms to undergo complicated aerial manoeuver efficiently. The bistable “click” mechanism is one of the most popular modelling approaches for representing the muscle–wing interactions in the insect flight motor during Dipteran flight. The kinetic energy of the wing is stored as elastic energy while deforming the muscle elements in the flight motor during one stroke of flapping and gets recovered in the reverse stroke. The present work investigates the non-linear Fluid–Structure Interaction (FSI) of a Dipteran flight motor-inspired flapping system with the surrounding free stream at low Reynolds number. The FSI effects of the Dipteran wing assimilated as a forced Duffing oscillator model to gain a deep understanding of the non-linear dynamical behaviour of the system in the presence of aerodynamic loads. The aerodynamic loads on the wing are computed using a discrete forcing Immersed Boundary Method (IBM)-based in-house Navier–Stokes solver. The structural governing equation is solved using an explicit fourth-order Runge–Kutta (RK4) method and is coupled with the IBM solver through a weak coupling scheme. Dynamical time-series analysis tools have been employed to study the non-linear behaviour of the combined FSI system.

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References

  1. Ward, T.A., Rezadad, M., Fearday, C.J., Viyapuri, R.: Review of biomimetic air vehicle research: 1984–2014. Int. J. Micro Air Veh. 7, 375–394 (2015). https://doi.org/10.1260/1756-8293.7.3.375

    Article  Google Scholar 

  2. Ellington, C.P.: The novel aerodynamics of insect flight: applications to micro-air vehicles. J. Exp. Biol. 202, 3439–3448 (1999)

    Google Scholar 

  3. Alexander, R.M., Bennet-Clark, H.: Storage of elastic strain energy in muscle and other tissues. Nature 265, 114–117 (1977). https://doi.org/10.1038/265114a0

    Article  Google Scholar 

  4. Harne, R., Wang, K.: Dipteran wing motor-inspired flapping flight versatility and effectiveness enhancement. J. R. Soc. Interface 12, 20141367 (2015). https://doi.org/10.1098/rsif.2014.1367

    Article  Google Scholar 

  5. Lau, G.-K., Chin, Y.-W., Goh, J.T.W., Wood, R.J.: Dipteran-insect-inspired thoracic mechanism with nonlinear stiffness to save inertial power of flapping-wing flight. IEEE Trans. Rob. 30, 1187–1197 (2014). https://doi.org/10.1109/TRO.2014.2333112

    Article  Google Scholar 

  6. Chin, Y.W., Lau, G.K.: ‘Clicking’ compliant mechanism for flapping-wing micro aerial vehicle. In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), Vilamoura, Portugal, Oct. 7–12, pp. 126–131 (2012). https://doi.org/10.1109/IROS.2012.6385809

  7. Dickinson, M. H., and Tu, M. S., “The Function of Dipteran FlightMuscle,” Comp. Biochem. Physiol., Part A: Mol. Integr. Physiol.,116, 223-238 (1997)

    Google Scholar 

  8. Thomson, A.J., Thompson, W.A.: Dynamics of a Bistable System: The Click Mechanism in Dipteran Flight. Acta Biotheor. 26, 19–29 (1977). https://doi.org/10.1007/BF00115924

    Article  Google Scholar 

  9. Brennan, M., Elliott, S., Bonello, P., Vincent, J.: The ‘Click’ Mechanism in Dipteran Flight: If It Exists, Then What Effect Does It Have? J. Theor. Biol. 224, 205–213 (2003). https://doi.org/10.1016/S0022-5193(03)00158-9

    Article  MathSciNet  MATH  Google Scholar 

  10. Liu, H., and Kawachi, K., “A numerical study of insect flight”, J. of Comp. Phys., 146, 124-156 (1998). https://doi.org/10.1006/jcph.1998.6019

  11. Coen van den, B., and Charles P. E., “The three-dimensional leading-edge vortex of a hovering model hawkmoth”, Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences, 352, 329-340 (1997). https://doi.org/10.1098/rstb.1997.0024

  12. Jun-duo, Z. and Wei-Xi, H., “On the role of vortical structures in aerodynamic performance of a hovering mosquito”, Phys. of Fluids, 31, 051906 (2019). https://doi.org/10.1063/1.5090878

  13. Cao, Q., Xiong, Y., Wiercigroch, M.: Novel Model of Dipteran Flight Mechanism. Int. J. Dyn. Control 1, 1–11 (2013). https://doi.org/10.1007/s40435-013-0001-5

    Article  Google Scholar 

  14. Chandan, B., Vikas, R., Sayan, G., Sunetra, S.: Transient and Stable Chaos in Dipteran Flight Inspired Flapping Motion. J. of Comp. and Nonlinear Dyn. 13, 021014 (2018). https://doi.org/10.1242/jeb.025007

    Article  Google Scholar 

  15. J. Kim, D. Kim, H. Choi., “An immersed-boundary finite-volume method for simulations of flow in complex geometries,” Journal of Computational Physics ,171, 132-150 (2001). https://doi.org/10.1006/jcph.2001.6778

  16. Martin, D., G., David, L. J., Sheridan, J., and Justin, S. L., “Passive heaving of elliptical cylinders with active pitching–from cylinders towards flapping foils”, J. of Fluids and Struct., 67, 124-141, (2016). https://doi.org/10.1016/j.jfluidstructs.2016.09.005

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Correspondence to Chhote Lal Shah .

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Shah, C.L., Majumdar, D., Sarkar, S. (2021). Investigating the Dynamical Behaviour of Dipteran Flight-Inspired Flapping Motion Using Immersed Boundary Method-Based FSI Solver. In: Saha, S.K., Mukherjee, M. (eds) Recent Advances in Computational Mechanics and Simulations. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-8315-5_23

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  • DOI: https://doi.org/10.1007/978-981-15-8315-5_23

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-8314-8

  • Online ISBN: 978-981-15-8315-5

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